OCR GCSE Maths past papers

OCR GCSE Maths June 2019 Paper 5

  • J560/05
  • Higher
  • Non-calculator
  • 1 hour 30 minutes
  • 100 marks

Question paper, Mark scheme, Examiner report: on the OCR website.

Practise this paper's topics

5 new exam questions, 17 minutes, marked line by line. Free, no account.

  • Scatter graphs and predictions
  • Circle theorems and angle chains
  • Completing the square and turning points
  • Formal, inverse and composite functions
  • Arc lengths and sectors
Start the 17-minute set

What it tested

  • Algebra28 marks
  • Number22 marks
  • Geometry22 marks
  • Ratio and proportion10 marks
  • Probability10 marks
  • Statistics8 marks
  1. Q1Standard form and calculator entry2 marks
  2. Q2Like terms and algebraic index rulesLinear equations, including both sides6 marks
  3. Q3Original values, profit and simple interestPercentages, changes and multipliers6 marks
  4. Q4Proportional graphs and rates of changeMetric units, money and dimensional conversion4 marks
  5. Q5Scatter graphs and predictions8 marks
  6. Q6Independent and dependent event trees4 marks
  7. Q7Percentages, changes and multipliers6 marks
  8. Q8Fraction arithmetic and exact answers5 marks
11 more questions
  1. Q9Triangles, interior and exterior polygon anglesRatio notation and multiplicative comparison6 marks
  2. Q10Recurring decimals as fractionsDecimals, fractions and percentages6 marks
  3. Q11Surds, exact calculations and rationalisingFractional and negative indices3 marks
  4. Q12Formal, inverse and composite functionsLinear equations, including both sides7 marks
  5. Q13Exponential and trigonometric graphs2 marks
  6. Q14Similar figures and length ratiosAngles at points, lines and parallel lines3 marks
  7. Q15Arc lengths and sectorsExact trigonometric values6 marks
  8. Q16Circle theorems and angle chainsTriangles, interior and exterior polygon angles7 marks
  9. Q17Completing the square and turning pointsQuadratic graphs, roots and turning points7 marks
  10. Q18Conditional probability in tables, trees and Venn diagramsSets, Venn diagrams and sample spaces6 marks
  11. Q19Cubic, reciprocal and contextual graphsPlotting lines, gradient and intercept6 marks

June 2019 Higher grade boundaries

Marks needed across all three Higher papers, out of 300.

  • Grade 9256
  • Grade 8213
  • Grade 7171
  • Grade 6136
  • Grade 5102
  • Grade 468
  • Grade 351

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